Advanced search
Publication Cover
Communications in Algebra Volume 49, 2021 - Issue 10
Submit an article Journal homepage
622
Views
1
CrossRef citations to date
0
Altmetric
Research Article

On the nilradical of a Leibniz algebra

David A. TowersDepartment of Mathematics and Statistics, Lancaster University, Lancaster, UKCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-2707-2736
ORCID Icon
Pages 4345-4347 | Received 15 Mar 2021, Accepted 14 Apr 2021, Published online: 05 May 2021

References

  • Albeverio, S., Ayupov, S. A., Omirov, B. A. (2005). On nilpotent and simple Leibniz algebras. Commun. Algebra 33(1):159–172. DOI: 10.1081/AGB-200040932.
  • Ayupov, S. A., Omirov, B. A. (1998). On Leibniz algebras. In: Algebra and Operators Theory, Proceeding of the Colloquium in Tashkent. Kluwer Academic Publishers, p. 113.
  • Ayupov, S., Omirov, B., Rakhimov, I. (2020). Leibniz algebras, structure and classification. Boca Raton, London, New York: CRC Press, Taylor and Francis Group.
  • Barnes, D. W. (2011). Some theorems on Leibniz algebras. Commun. Algebra 39(7):2463–2472. DOI: 10.1080/00927872.2010.489529.
  • Barnes, D. W. (2013). Schunck classes of soluble Leibniz algebras. Commun. Algebra 41(11):4046–4065. DOI: 10.1080/00927872.2012.700978.
  • Batten, C., Bosko-Dunbar, L., Hedges, A., Hird, J. T., Stagg, K., Stitzinger, E. (2013). A Frattini theory for Leibniz algebras. Commun. Algebra 41(4):1547–1557. DOI: 10.1080/00927872.2011.643844.
  • Bosko, L., Hedges, A., Hird, J. T., Schwartz, N., Stagg, K. (2011). Jacobson’s refinement of Engel’s theorem for Leibniz algebras. Involve 4(3):293–296. DOI: 10.2140/involve.2011.4.293.
  • Demir, I., Misra, K. C., Stitzinger, E. (2014). On some structures of Leibniz algebras. In: Pramod, N. A., Jakelić, D., Misra, K. C., Yakimov, M., eds. Recent advances in representation theory, quantum groups, algebraic geometry, and related topics, Contemporary Mathematics, Vol. 623. Providence, RI: American Mathematical Society, pp. 41–54.
  • Feldvoss, J. (2019). Leibniz algebras as nonassociative algebras. In: Vojtechovsky, P., Bremner, M. R., Carter, J. S., Evans, A. B., Huerta, J., Kinyon, M. K., Moorhouse, G. E., Smith, J. D. H., eds. Nonassociative mathematics and its applications, Vol. 721. Providence, RI: American Mathematical Society, p. 115149.
  • Gorbatsevich, V. V. (2013). On some basic properties of Leibniz algebras. arxiv:1302.3345v2.
  • Patsourakos, A. (2007). On nilpotent properties of Leibniz algebras. Commun. Algebra 35(12):3828–3834. DOI: 10.1080/00927870701509099.
  • Rakhimov, I. S. (2016). On classification problem of Loday algebras. Contemp. Math. 672:225–244.
  • Towers, D. A. (1973). A Frattini theory for algebras. Proc. London Math. Soc. 3(3):440–462. DOI: 10.1112/plms/s3-27.3.440.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.